On a theorem of S. N. Bernshtein
Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 301-307
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This note contains the proof of a theorem on the characterization of a normal law on locally compact Abelian groups, this theorem being a generalization of S. N. Bernshtein's wellknown characterization of the normal law by the property that sums and differences of two independent random variables are also random variables.